1181442654720 has 640 divisors, whose sum is σ = 4402153958400. Its totient is φ = 299983896576.

The previous prime is 1181442654709. The next prime is 1181442654739. The reversal of 1181442654720 is 274562441811.

1181442654720 is a `hidden beast` number, since 1 + 1 + 81 + 4 + 4 + 2 + 6 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1181442654720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120194766 + ... + 120204594.

It is an arithmetic number, because the mean of its divisors is an integer number (6878365560).

Almost surely, 2^{1181442654720} is an apocalyptic number.

1181442654720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1181442654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201076979200).

1181442654720 is an abundant number, since it is smaller than the sum of its proper divisors (3220711303680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1181442654720 is an equidigital number, since it uses as much as digits as its factorization.

1181442654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1181442654720 in words is "one trillion, one hundred eighty-one billion, four hundred forty-two million, six hundred fifty-four thousand, seven hundred twenty".